A discrete gauge symmetry protecting the axion induces a large effective mass during inflation via a gauge-invariant PQ-violating operator, suppressing isocurvature fluctuations and addressing both quality and isocurvature issues.
Remarks on Cosmic String Formation during Preheating on Lattice Simulations
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We reconsider the formation of (global) cosmic strings during and after preheating by calculating the dynamics of a scalar field on both two- and three- dimensional lattices. We have found that there is little differences between the results in two and three dimensions about the dynamics of fluctuations, at least, during preheating. Practically, it is difficult to determine whether long cosmic strings which may affect the later evolution of the universe could ever be produced from the results of simulations on three-dimensional lattices with smaller box sizes than the horizon. Therefore, using two-dimensional lattices with large box size, we have found that cosmic strings with the breaking scale 0\eta \sim 10^{16} GeV are produced for broad range of parameter space in \eta, while for higher breaking scales (\eta \sim 3\times 10^{16} GeV), their production depends crucially on the value of the breaking scale \eta in our simulations.
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Spontaneous wash-in leptogenesis in Type II Seesaw with Majoron pNGB background enables baryon asymmetry generation alongside dark matter cogenesis for specific v_T, v_sigma and m_j ranges.
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High-Quality Axion Dark Matter without Isocurvature Problem
A discrete gauge symmetry protecting the axion induces a large effective mass during inflation via a gauge-invariant PQ-violating operator, suppressing isocurvature fluctuations and addressing both quality and isocurvature issues.
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Type II Seesaw Leptogenesis in a Majoron background
Spontaneous wash-in leptogenesis in Type II Seesaw with Majoron pNGB background enables baryon asymmetry generation alongside dark matter cogenesis for specific v_T, v_sigma and m_j ranges.